Genuine tripartite entanglement and geometric quantum discord in entangled three-body Unruh–DeWitt detector system

• Published in: Frontiers of physics Vol. 19; no. 5; p. 54201
• Main Authors: Fan, Tingting, Wen, Cuihong, Jing, Jiliang, Wang, Jieci
• Format: Journal Article
• Language: English
• Published: Beijing Higher Education Press 01.10.2024; Springer Nature B.V
• Subjects: Astronomy; Astrophysics and Cosmology; Atomic; Condensed Matter Physics; Correlation; Data processing; Energy gap; Entangled states; Molecular; Optical and Plasma Physics; Particle and Nuclear Physics; Physics; Physics and Astronomy; Quantum entanglement; Quantum phenomena; Research Article; Sensors; Thermal noise; Unruh effect; geometric quantum discord; Unruh–DeWitt detector; relativistic quantum information
• ISSN: 2095-0462; 2095-0470
• DOI: 10.1007/s11467-024-1398-3

We studied the quantum correlations of a three-body Unruh–DeWitt detector system using genuine tripartite entanglement (GTE) and geometric quantum discord (GQD). We considered two representative three-body initial entangled states, namely the GHZ state and the W state. We demonstrated that the quantum correlations of the tripartite system are completely destroyed at the limit of infinite acceleration. In particular, it is found that the GQD of the two initial states exhibits “sudden change” behavior with increasing acceleration. It is shown that the quantum correlations of the W state are more sensitive than those of the GHZ state under the effect of Unruh thermal noise. The GQD is a more robust quantum resource than the GTE, and we can achieve robustness in discord-type quantum correlations by selecting the smaller energy gap in the detector. These findings provide guidance for selecting appropriate quantum states and resources for quantum information processing tasks in a relativistic setting.